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Finding the Fourth Proportional to 3,078.86, 4,618.28 and 770.36

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Solution

The fourth proportional to 3,078.86, 4,618.28 and 770.36 is: 1,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.86 : 4,618.28 = 770.36 : x
  2. Step 2: Convert to fraction form
    3,078.86/4,618.28 = 770.36/x
  3. Step 3: Cross multiply
    3,078.86x = 4,618.28 × 770.36
  4. Step 4: Simplify right side
    3,078.86x = 3,557,717.02
  5. Step 5: Solve for x
    x = 3,557,717.02/3,078.86
  6. Step 6: Final answer
    x = 1,155.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.